Your Christmas ski vacation was great, but it unfortunately ran a bit over budget. All is not lost: You just received an offer in the mail to transfer your $$16,100$ balance from your current credit card, which charges an annual rate of $20\mathrm{.}3$ percent, to a new credit card charging a rate of $11\mathrm{.}1$ percent.

a$.$

How much faster could you pay the loan off by making your planned monthly payments of $$340$ with the new card? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What if there was a $2$ percent fee charged on any balances transferred? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$